Perrin numbers that are palindromic concatenations of two repdigits

Abstract

Let $\{P_n{\}}_{n\ge 0}$ be the sequence of Perrin numbers defined by $P_0=3$, $P_1=0$,$P_2=2$ and $P_{n+3}=P_{n+1}+P_n$ for all $n\ge 0$. In this paper, we determine all Perrin numbers that are palindromic concatenations of two repdigits.

12 pages. arXiv admin note: substantial text overlap with arXiv:2401.05361